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Finding the Fourth Proportional to 467,535.20, 699,553.20 and 310,071.20

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Solution

The fourth proportional to 467,535.20, 699,553.20 and 310,071.20 is: 463,946.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,535.20 : 699,553.20 = 310,071.20 : x
  2. Step 2: Convert to fraction form
    467,535.20/699,553.20 = 310,071.20/x
  3. Step 3: Cross multiply
    467,535.20x = 699,553.20 × 310,071.20
  4. Step 4: Simplify right side
    467,535.20x = 216,911,300,187.84
  5. Step 5: Solve for x
    x = 216,911,300,187.84/467,535.20
  6. Step 6: Final answer
    x = 463,946.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.